Question

एक व्यक्ति ने एक मेज 15% लाभ पर बेची। यदि उसने वहीं 25% कम पर खरीदी होती और रू 60 कम पर बेची होती तो उसे 32% लाभ होता। तद्नुसार, उस मेज का लागत मूल्य कितना था?​

Answer 1

उतर :-

माना मेज का लागत मूल्य ₹100 था l

तब :-

→ क्रय मूल्य = ₹100

→ लाभ % = 15%

→ विक्रय मूल्य = {क्रय मूल्य * (100 + लाभ %)}/100

→ विक्रय मूल्य = {100 * (100 + 15)}/100

→ विक्रय मूल्य = (100 * 115)/100

→ विक्रय मूल्य = ₹115

________________

अब,

→ नया क्रय मूल्य = 25% कम = 100 - (100*25/100) = 100 - 25 = ₹75

→ नया विक्रय मूल्य = ₹60 कम = 115 - 60 = ₹55

दिया हुआ कि इसमें बेचने पर 32% का लाभ होता ll

→ विक्रय मूल्य = {75 * (100 + 32)}/100

→ विक्रय मूल्य = (75 * 132)/100

→ विक्रय मूल्य = ₹99

________________

इसलिए हम कह सकते है कि ,

→ 55 ----------- 99

→ 1 ------------- (99/55)

→ 100 --------- (99/55) * 100 = ₹180 (Ans.)

Answer 2

${ \huge{ \red{ \underline{ \underline{ \mathfrak{Solution:-}}}}}}$



▪ Let the original cost price of the table be Rs.100



then, it's given that....



✮ Gain = 15%


✮ Cost price ( C.P.) = Rs.100


➧ Selling Price ( S.P.) ...




${ \underline{ \boxed{ \bold{ \purple{S.P. = \frac{C.P.}{100} (100 + gain \: prcnt)}}}}}$





${ \bold{S.P. = \frac{100}{100} (100 + 15)}}$




➜ Selling Price ( S.P. ) = Rs. 115




${ \underline{ \bold{ \pink{according \: to \: the \: question}}}}$



▪ if the table was bought at 25% less price and sold at Rs.60 less price , then the man would gain 32%



✯ new Cost price (C.P. ) = Rs.(100-100*25/100)

= Rs. (100-25) = Rs. 75



✯ new selling price (S.P. ) = S.P.-60

= Rs. 115 - Rs . 60

= Rs. 55



✯ gain = 32%



${ \bold{S.P. = \frac{75}{100} (100 + 32)}}$




${ \bold{ \implies{S .P. = \frac{3}{4} \times 132}}}$



➜ Selling Price (S.P. ) = Rs.396/4 = Rs. 99



thus , we can say that....



➧ 55-------------------------> 99


➧ 1 ---------------------------> 99/55


➧ 100 ------------------------> 100× 99/55



therefore,

the original cost price of the table = Rs. 180